Mathematics: Content and Pedagogy

Abstract

This subject builds on the central concepts, modes of enquiry and content structure within the K-6 mathematics continuum, highlighting the role of mathematics in everyday situations, and the importance of home and community numeracy practices. Students explore the principles and practices underpinning the teaching of mathematics and develop an appreciation and deep understanding of current syllabus documents that will inform and guide their pedagogical practice. This subject also reinforces the function of 'real world' mathematics as a numerate and literate practice and the role and value of Information and Communication Technologies [ICT] as a pedagogical tool.

Syllabus

Principles, research and current evidence-based practices associated with teaching and learning mathematicsThe role and value of mathematics in the broader school curriculum and the development of students' literacy, digital literacy and numeracy capabilities in mathematicsCentral ideas and common student misconceptions in Number and Algebra, and Statistics and ProbabilityUse and selection … For more content click the Read More button below.

Principles, research and current evidence-based practices associated with teaching and learning mathematics
The role and value of mathematics in the broader school curriculum and the development of students' literacy, digital literacy and numeracy capabilities in mathematics
Central ideas and common student misconceptions in Number and Algebra, and Statistics and Probability
Use and selection of digital technologies to support teaching and learning in mathematics/numeracy
NSW Mathematics K-10 Syllabus (2012), with specific emphasis on Early Stage 1 and Stages 1-3, including outcomes and content, syllabus elements, support materials and strategies for supporting students with special education needs in mathematics
The five components of thinking and working mathematically: communicating; problem solving; reasoning; understanding; and fluency in mathematics
Principles and practices for teaching: number & algebra; and statistics & probability
The place of Primary Mathematics in the continuum of learning across K-12, including a particular understanding of the links between prior to school learning and Early Stage 1, and Stage 3 and Stage 4
Awareness that all students have the ability to be literate and numerate individuals
The development of numeracy skills through the stages of primary schooling, including links to the National Numeracy Learning Progression
The pervasive nature of numeracy and its role in everyday situations and the importance of home and community numeracy practices
Planning, conducting and communicating results of mathematical investigations

Assessment items

1. Mathematics problem/investigation

2. Practical learning experiences

3. Development of Number & Algebra lesson plans

Learning outcomes

Upon successful completion of this subject, students should:

be able to explain the function of mathematics as a numerate and literate practice to meet the cognitive, social and aesthetic needs of children;

be able to apply pedagogical knowledge, informed by constructivist principles, research and current evidence-based practices associated with teaching and learning mathematics in developing learning activities and lessons for primary mathematics and justify their design with respect to pedagogical models and practices of primary mathematics;

be able to apply knowledge of current primary mathematics syllabus documents, including the general capabilities, in developing learning activities for primary mathematics;

be able to create and evaluate investigations and open problems applying the 'working mathematically' process;

be able to apply a range of strategies to cater for and engage primary children K-6 in mathematics, including the use of Information and Communication Technologies (ICT); and

be able to explain and interpret the place of primary mathematics in the K-12 continuum of learning.

Enrolment restrictions

Incompatible